{"id":"https://openalex.org/W1973971566","doi":"https://doi.org/10.1007/bf00197312","title":"A group-theoretic approach to rings of coupled biological oscillators","display_name":"A group-theoretic approach to rings of coupled biological oscillators","publication_year":1994,"publication_date":"1994-06-01","ids":{"openalex":"https://openalex.org/W1973971566","doi":"https://doi.org/10.1007/bf00197312","mag":"1973971566","pmid":"https://pubmed.ncbi.nlm.nih.gov/8068779"},"language":"en","primary_location":{"id":"doi:10.1007/bf00197312","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00197312","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065209470","display_name":"James J. Collins","orcid":"https://orcid.org/0000-0002-5560-8246"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. J. Collins","raw_affiliation_strings":["NeuroMuscular Research Center, Boston University, MA 02215","NeuroMuscular Research Center and Department of Biomedical Engineering, Boston University, Boston, USA 02215#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NeuroMuscular Research Center, Boston University, MA 02215","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"NeuroMuscular Research Center and Department of Biomedical Engineering, Boston University, Boston, USA 02215#TAB#","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079169390","display_name":"Ian Stewart","orcid":"https://orcid.org/0000-0002-3759-0142"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"I. Stewart","raw_affiliation_strings":["Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK","Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry, UK CV4 7AL#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry, UK CV4 7AL#TAB#","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3990,"currency":"USD","value_usd":3990},"apc_paid":null,"fwci":5.8374,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.95526316,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"71","issue":"2","first_page":"95","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10342","display_name":"Circadian rhythm and melatonin","score":0.968500018119812,"subfield":{"id":"https://openalex.org/subfields/2807","display_name":"Endocrine and Autonomic Systems"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.7366387844085693},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6753835678100586},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.6162064671516418},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.5832613110542297},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4816666841506958},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4608684480190277},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43678343296051025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42518705129623413},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.41194507479667664},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39157360792160034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36906325817108154},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3643222451210022},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16469666361808777},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12210997939109802},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11329829692840576},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0906999409198761},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08409315347671509}],"concepts":[{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.7366387844085693},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6753835678100586},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6162064671516418},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.5832613110542297},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4816666841506958},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4608684480190277},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43678343296051025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42518705129623413},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.41194507479667664},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39157360792160034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36906325817108154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3643222451210022},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16469666361808777},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12210997939109802},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11329829692840576},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0906999409198761},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08409315347671509},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003491","descriptor_name":"Cybernetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007422","descriptor_name":"Intestines","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007422","descriptor_name":"Intestines","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D007422","descriptor_name":"Intestines","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1007/bf00197312","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00197312","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},{"id":"pmid:8068779","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/8068779","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological cybernetics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W200235351","https://openalex.org/W293927785","https://openalex.org/W307773229","https://openalex.org/W1488708381","https://openalex.org/W1531715726","https://openalex.org/W1551791849","https://openalex.org/W1917483002","https://openalex.org/W1965778005","https://openalex.org/W1974922090","https://openalex.org/W1977264099","https://openalex.org/W1979241164","https://openalex.org/W1980661496","https://openalex.org/W1980788971","https://openalex.org/W1987167085","https://openalex.org/W1990028683","https://openalex.org/W1990723956","https://openalex.org/W1991593435","https://openalex.org/W1995603833","https://openalex.org/W2022401308","https://openalex.org/W2023446323","https://openalex.org/W2026157416","https://openalex.org/W2027674062","https://openalex.org/W2035695789","https://openalex.org/W2039861564","https://openalex.org/W2047596305","https://openalex.org/W2067294365","https://openalex.org/W2069032592","https://openalex.org/W2078794407","https://openalex.org/W2081614114","https://openalex.org/W2083624565","https://openalex.org/W2083694019","https://openalex.org/W2084994381","https://openalex.org/W2088437499","https://openalex.org/W2088678566","https://openalex.org/W2090235705","https://openalex.org/W2091411248","https://openalex.org/W2093485175","https://openalex.org/W2094488329","https://openalex.org/W2100649861","https://openalex.org/W2106616453","https://openalex.org/W2119301498","https://openalex.org/W2122467996","https://openalex.org/W2128949314","https://openalex.org/W2145932718","https://openalex.org/W2158413194","https://openalex.org/W2316793170","https://openalex.org/W2323515175","https://openalex.org/W2415472442","https://openalex.org/W2462792420","https://openalex.org/W2574175061","https://openalex.org/W3022035939","https://openalex.org/W4232440887","https://openalex.org/W4248666415","https://openalex.org/W4255777804","https://openalex.org/W4293079168"],"related_works":["https://openalex.org/W2004735650","https://openalex.org/W1551019254","https://openalex.org/W2000010777","https://openalex.org/W2057473185","https://openalex.org/W2359162541","https://openalex.org/W2385067730","https://openalex.org/W3014273909","https://openalex.org/W2089678289","https://openalex.org/W3159431998","https://openalex.org/W3210114745"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
